QuestionAugust 24, 2025

6. -3(3)/(8)+(-1(2)/(3))=underline ( )

6. -3(3)/(8)+(-1(2)/(3))=underline ( )
6. -3(3)/(8)+(-1(2)/(3))=underline ( )

Solution
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Answer

-\frac{121}{24} Explanation 1. Convert Mixed Numbers to Improper Fractions -3\frac{3}{8} = -\frac{27}{8} and -1\frac{2}{3} = -\frac{5}{3}. 2. Find a Common Denominator The least common denominator of 8 and 3 is 24. 3. Convert Fractions to Common Denominator -\frac{27}{8} = -\frac{81}{24} and -\frac{5}{3} = -\frac{40}{24}. 4. Add the Fractions -\frac{81}{24} + (-\frac{40}{24}) = -\frac{121}{24}. 5. Simplify the Result The fraction -\frac{121}{24} cannot be simplified further.

Explanation

1. Convert Mixed Numbers to Improper Fractions<br /> $-3\frac{3}{8} = -\frac{27}{8}$ and $-1\frac{2}{3} = -\frac{5}{3}$.<br />2. Find a Common Denominator<br /> The least common denominator of 8 and 3 is 24.<br />3. Convert Fractions to Common Denominator<br /> $-\frac{27}{8} = -\frac{81}{24}$ and $-\frac{5}{3} = -\frac{40}{24}$.<br />4. Add the Fractions<br /> $-\frac{81}{24} + (-\frac{40}{24}) = -\frac{121}{24}$.<br />5. Simplify the Result<br /> The fraction $-\frac{121}{24}$ cannot be simplified further.
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